Determine whether each given pair of endpoints lies on the same horizontal or vertical line.
If so, find the length of the line segment that joins the pair of points.
If not, explain how you know the points are not on the same horizontal or vertical line.
(0,−2) and (0, 9). Do not include units in your answer.
Answers
Answer:
They end up on the same vertical line. The length between them is 11 units if your looking on a graph.
Step-by-step explanation:
You can also answer this without a graph by looking at the x and y units for each pair. Since both points both have x as 0 you can know they will be on the same vertical line which for this question is zero. Then to find the length between each point just count up from -2. -2, -1, 0, 1 etc. That's the easiest way for my brain to comprehend it at least.
Related Questions
Are -1/3(-3m+6-12+15m) and 2(1-2m) equivalent
Answers
Algebraic expressions -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent as they give same expression of simplifying.
What are equivalent algebraic expressions?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
According the given question:
The given algebraic expressions in variable m are -1/3(-3m + 6- 12 + 15m) and 2(1 - 2m)
Simplifying 1st expression
-1/3(-3m + 6- 12 + 15m)
-1/3(-3m) -1/3(6) -1/3(-12) -1/3(15m)
m - 2 + 4 - 5m
-4m + 2 is the simplified form
Similarly simplifying 2nd expression
2(1 - 2m)
2 - 4m
Clearly both the algebraic expressions are same when simplified.
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shooting free throws. in college basketball games, a player may be afforded the opportunity to shoot two consecutive foul shots (free throws). a. suppose a player who makes (i.e., scores on) 80% of his foul shots has been awarded two free throws. if the two throws are considered independent, what is the probability that the player makes both shots? exactly one? neither shot? b. suppose a player who makes 80% of his first attempted foul shots has been awarded two free throws and the outcome on the second shot is dependent on the outcome of the first shot. in fact, if this player makes the first shot, he makes 90% of the second shots; and if he misses the first shot, he makes 70% of the second shots. in this case, what is the probability that the player makes both shots? exactly one? neither shot?
Answers
For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72
a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.
Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.
To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.
Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.
Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.
b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.
Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.
If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.
Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.
Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.
Therefore, for the given scenario:
a) Probability of making both shots: 0.64
Probability of making exactly one shot: 0.32
Probability of missing both shots: 0.04
b) Probability of making both shots: 0.72
Probability of making exactly one shot: 0.14
Probability of missing both shots: 0.14
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Lucy has covered 45% of the kitchen floor with tile. The kitchen floor has an area of 60 square feet. How many square feet has Lucy covered with tile?
Answers
Answer: Lucy covered 27 square feet with tile.
Step-by-step explanation:
The tile is 60 square feet.
60*45% or 60*45/100 is 27
compute the surface area of the cap of the sphere x2 y2 z2 = 36 with 5 ≤ z ≤ 6.
Answers
The surface area of the cap of the sphere is 12π square units.
To compute the surface area of the cap of the sphere, we can use the formula for the surface area of a portion of a sphere given by:
A = 2πrh
Where A is the surface area, r is the radius of the sphere, and h is the height of the cap.
In this case, the sphere equation is x^2 + y^2 + z^2 = 36, which means the radius r is equal to 6 (since 36 = 6^2). We are interested in the cap of the sphere where 5 ≤ z ≤ 6, so the height h of the cap is 1 (6 - 5).
Now we can calculate the surface area:
A = 2πrh
= 2π(6)(1)
= 12π
Therefore, the surface area of the cap of the sphere is 12π square units.
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in january , the temperature in parts of minnesota fell from f to f over a -hour period. what was the average temperature change per hour?
Answers
The average temperature change per hour was -2.708 degrees Fahrenheit.
To calculate the average temperature change per hour, we need to find the total temperature change over the 24-hour period and then divide by the number of hours.
The total temperature change is the difference between the starting temperature (41 degrees Fahrenheit) and the ending temperature (-13 degrees Fahrenheit), which is -54 degrees Fahrenheit.
Dividing the total temperature change by the number of hours, we get:
-54 degrees Fahrenheit / 24 hours = -2.25 degrees Fahrenheit per hour.
Rounding to three decimal places, we get an average temperature change per hour of -2.708 degrees Fahrenheit per hour.
The complete question is: In January 2008, the temperature in parts of Minnesota fell from 41∘41∘F to −13∘-13∘F over a 24-hour period. What was the average temperature change per hour?
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
WILL GIVE 100 POINTS!
A. g(-4) = -11
B. g(7) = -1
C. g(0) = 2
D. g(-13) = 20
Answers
Answer:
D. g(-13) = 20
Step-by-step explanation:
Given information:
Domain: -20 ≤ x ≤ 5Range: -5 ≤ g(x) ≤ 45g(0) = -2g(-9) = 6Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.
Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.
Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.
Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.
PLEASE HELP ASAP! Point B has the coordinates (1,2). The x-coordinate of Point A is -5. The distance between Point A and Point B is 10 units. What are the possible coordinates of Point A?
Answers
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ 10= \sqrt{(~~ 1- (-5) ~~)^2 + (~~ 2- y ~~)^2} \implies 10^2= (~~ 1 +5 ~~)^2 + (~~ 2 -y ~~)^2 \\\\\\ 100=36+(4-4y+y^2)\implies 100=y^2-4y+40 \\\\\\ 0=y^2-4y-60\implies 0=(y-10)(y+6)\implies y= \begin{cases} 10\\ -6 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-5~~,~~10)\hspace{5em}(-5~~,~-6)~\hfill\)
(5√3^2)^1/3? need this problem only the answer
Answers
Answer:
\((5 \sqrt{3}^{1} 2)^{1}( \frac{1}{3})\)
\((10( \sqrt{3})^{1})^{1} \times (\frac{1}{3}) \)
\((10 \sqrt{3})^{1} \times( \frac{1}{3})\)
\(10 \sqrt{3} \times( \frac{1}{3})\)
\( \frac{10}{3} \sqrt{3} \)
\( \frac{10 \sqrt{3} }{3} = 5.773502692 \)
this is your answer
Answer:
I'm pretty sure the answer is 5
Step-by-step explanation:
i need help with this problem 4x -12y = 3
Answers
Answer:
Slope=0.667/2.000=0.333
x-intercept=0.75
y-intercept=0.25
Step-by-step explanation:
Find an exponential function that passes through (2, 16) and (6, 256) with an asymptote
y=0.
Answers
Answer:she's a freshmen leave her alone anime girl before senpai comes for ya >_<
Step-by-step explanation:
Susan has ribbon that is 4 feet long. She needs to cut the ribbon into 14 equal length pieces. How many feet long should each piece of ribbon be
Answers
Answer:
each ribbon should be 3.5(3 and a half or 3 1/2) feet long
Step-by-step explanation:
i divided 14 by 4
if x/ 3=3/x then what is the value of x
1.-3
2.3
3.+-3
Answers
Answer:
x = ±3 (Option 3)
Step-by-step explanation:
\(\frac{x}{3} = \frac{3}{x}\)
Multiply both the sides with 3.\(=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3\)
\(=> x = \frac{9}{x}\)
Multiply both the sides with 'x'.\(=> x \times x = \frac{9}{x} \times x\)
\(=> x^2 = 9\)
Root-square both the sides.\(=> \sqrt{x^2} = \sqrt{9}\)
\(=> x = (+3) \: or \: (-3)\)
∴ x = ±3
What are the integer solutions to the inequality below?
2x < 3x +4 ≤ x +6
Answers
Answer:
-4∠X≤-1
Step-by-step explanation:
I cant find symbol more, so yeah
x greater that -4 and less or equal to -1
The integer solutions to the given inequality is {-3, -2, -1, 0, 1}.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 2x<3x +4 ≤ x+6.
2x<3x +4
Subtract 2x on both the sides of inequality, we get
0<x+4
Subtract 4 on both the sides of inequality, we get
-4<x
Now, 3x +4 ≤ x +6
Subtract x on both the sides of inequality, we get
2x+4≤ 6
Subtract 4 on both the sides of inequality, we get
2x≤ 2
Divide 2 on both the sides of inequality, we get
x≤1
Now, -4<x≤1
So, solution is {-3, -2, -1, 0, 1}
Therefore, the integer solutions to the given inequality is {-3, -2, -1, 0, 1}.
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A. g(x) = f(x)+5
B. g(x) = f(x+5)
C. g(x) = f(x)-5
D. g(x) = f(x-5)
Answers
Answer:
-3 and 2Step-by-step explanation:
Te solutions of f(x) = g(x) are x-coordinates of points of intercept of the graphs.
Points of intercept are (-3, -8) and (2, -3)
So the solutions are: -3 and 2
Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?
Strikes (pre): 29 32 44 34 19
Strikes (post): 51 45 68 92 64
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Answers
Answer:
H0 : The mean difference in strikes between pre and post strike is equal to 0
H1 : The mean difference in strikes between pre and post strike is not equal to 0
Step-by-step explanation:
The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.
For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.
In a class of 27 students, 14 play an instrument and 16 play a sport. There are 6
students who do not play an instrument or a sport. What is the probability that a
student chosen randomly from the class plays a sport and an instrument?
Answers
Answer: 1/3
Step-by-step explanation:
6 + 16 + 14 - 27 = 1/3
can someone please help me with these two questions .( plz show work )
Answers
\(4x + x = 1 - 6\)
so x=_1
\( - 2y - 8y = - 7 - 3\)
so y=1
. (a) In the following model for the growth of rabbits, foxes, and hu- mans, R' = R + .3R - 17 - 2H F = F + 4R ..2F .3H H' = H + .IR + 1F + 1H determine the sum and max norms of the coefficient matrix A. (b) If the current vector of population sizes is p = [10, 10, 10], de- termine bounds (in sum and max norms) for the size of p' Ap. Compute p' and see how close it is to the norm bounds. (c) Give a sum norm bound on the size of population vector after four periods, p(4).
Answers
In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.
(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.
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which function has an inverse is a function
Answers
Answer:
No function to look at. Please add the functions
Step-by-step explanation:
Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))
Answers
Answer:
1. 7
2. 6
\(3. 3\sqrt{5}\)
4?
5. \(8\sqrt{10}\)
6.\(5\sqrt{3}\)
7. \(-1+\sqrt{3}\)
Step-by-step explanation:
1. \(\sqrt{7} *\sqrt{7} =\sqrt{49}=7\)
2. \(\sqrt{18}*\sqrt{2} =\sqrt{36}=6\)
3.\(\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}\)
4. here there are two cases
\(\sqrt{\frac{50}{5} }=\sqrt{10}\)
\(\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}\)
5. \(2\sqrt{2} *4\sqrt{5} =8\sqrt{10}\)
6. \(\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}\)
7. \((2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}\)
The value of y varies directly with x. If x = 16 when y = 20, find the value of y when x = 60?
Answers
Answer:
y = 75 when x = 60Step-by-step explanation:
To solve this, we will use a proportion, since x and y vary directly with each other.
16 / 20 = 60 / y
Step 1: Cross-Multiply16y = 1200
Step 2: Divide both sides by 1616y / 16 = 1200 / 16
y = 75
Step 3: Check16 / 20 = 60 / 75
1200 = 1200 ✅
y = 75 when x = 60Perform the indicated operation.
5/8 + 7/12
Answers
Answer:
\( \dfrac{29}{24} \)
\( 1 \dfrac{5}{24} \)
Step-by-step explanation:
To add fractions, you need a common denominator.
The least common denominator of 8 and 12 is 24.
24/8 = 3
24/12 = 2
\( \dfrac{5}{8} + \dfrac{7}{12} = \)
\( = \dfrac{5}{8} \times \dfrac{3}{3} + \dfrac{7}{12} \times \dfrac{2}{2} \)
\( = \dfrac{15}{24} + \dfrac{14}{24} \)
\( = \dfrac{29}{24} \)
\( = 1 \dfrac{5}{24} \)
Answer:
1 5/24
Step-by-step explanation:Hope this helps!!!
7. We learned that in a plane, two lines perpendicular to the same line are parallel. Use the rectangular solid below to explain why the words "in a plane" are needed.
Answers
Answer:
"In a plane" imposes the condition that these 3 lines exist in ONLY 2 dimensions, otherwise, the statement, "Two lines perpendicular to the same line are parallel" is false.
Example 1: lines CE & DF are // & perpendicular to CD. TRUE
Example 2: lines CE & BD are // & perpendicular to CD. FALSE
Step-by-step explanation:
hope this helped :P
Fill in the blank with a whole number only - no decimals, no symbols. The demand for a product is given by: Qd = 20 - P. Total revenue will be maximized when quantity is equal to [a]
Answers
The total revenue that will be maximized is 20 - 2a
Finding the total revenue that will be maximizedFrom the question, we have the following parameters that can be used in our computation:
Qd = 20 - P
The revenue equation is calculated using
Revenue = Quantity * Price
So, we have
R = Qd * P
This gives
R = (20 - P) * P
Expand
R = 20P - P²
Differentiate
R' = 20 - 2P
Next, we have
Q = a
So, we have
R = 20 - 2a
Hence, the total revenue that will be maximized is 20 - 2a
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ANSWER WITHOUT A LINK PLS
I WILL REPORT U
Answers
Answer:
∠ B = 53°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for B
∠ B = 180° - (90 + 37)° = 180° - 127° = 53°
help....
delta math questions...
Answers
The length of BD is √182
How to solve for x?The given parameters are:
AD = 7
DC = 26
BD = x
The side lengths are represented by the following ratio:
7 : x = x : 26
Express as fraction
7/x = x/26
Cross multiply
x^2 = 182
Take the square roots
x = √182
Hence, the length of BD is √182
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Answer:
The length of BD is √182
hope this helps :)
How many solutions does this system have? x-y=-2 3x+y=8 one two an infinite number no solution
Answers
The solution does the given system of equations have is one solution that is (3/2 , 7/2)
What is Linear equation ?
Linear equation can be defined as the equation in which highest degree is one.
Given system of equations ,
x - y = -2
3x + y = 8
so
Lets add two equations ,
x+3x = -2+8
4x = 6
x = 6/4
x = 3/2
So substitute x = 3/2 in x - y = -2
3/2 - y = -2
3/2 + 2 = y
y = 7/2
Hence, The solution does the given system of equations have is one solution that is (3/2 , 7/2)
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sheldon purchased 189 sq. ft. of sod for his square-shaped yard. What is the width of his yard?
Answers
Answer: 13.7 ft
Step-by-step explanation:
The square root of 189 is 13.7 (rounded off).
select whether the following numbers are rational or irrational. please help me
Answers
1)13/4: Rational (a fraction)
2)√17: Irrational (square root of a non-perfect square)
3)3π: Irrational (product of a rational number and an irrational number)
4)0.1 (1 bar): Rational (repeating decimal)
5)-√2: Irrational (negative square root of a non-perfect square)
6)√24: Irrational (square root of a non-perfect square)
7) -√49: Rational (negative square root of a perfect square)
1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.
2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.
3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.
4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.
5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.
6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.
7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.
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The complete question is :
Select whether the following numbers are rational or irrational.
1. 13/4
2. \sqrt{17}
3. 3 π
4. 0.1 (1 bar)
5. - \sqrt{2}
6. \sqrt{24}
7. - \sqrt{49
find the inverse matrix if one exists 5 3 13 8
Answers
Answer:
Step-by-step explanation:
To find the inverse of a matrix, we need to put it in the reduced row echelon form (RREF) using elementary row operations. We can augment the given matrix with an identity matrix of the same size, and then apply the row operations to both matrices simultaneously until the left-hand side becomes an identity matrix. The right-hand side will then be the inverse of the original matrix.
Here are the steps:
[ 5 3 | 1 0 ]
[13 8 | 0 1 ]
R1/5 -> R1:
[ 1 3/5 | 1/5 0 ]
[13 8 | 0 1 ]
R2-13R1 -> R2:
[ 1 3/5 | 1/5 0 ]
[ 0 1/5 | -13 1 ]
R1-(3/5)R2 -> R1:
[ 1 0 | 26/5 -3/5 ]
[ 0 1 | -13 1/5 ]
So, the inverse matrix is:
[ 26/5 -3/5 ]
[-13 1/5 ]